It certainly seems like an example of the broken window fallacy to me. Invoking the creation of jobs to refute the claim of wasting labor is the same illogical argument. It's just redefining bad as good and pretending it is an argument. Jobs are not a scarce resource. Labor is a scarce resource. Capital is a scarce resource. Instead of making cake for the rich, a baker may instead make bread for the poor.

Making cake for the rich isn't an example of the broken window fallacy either, and I'm not sure what that has to do with anything.

Cash for clunkers is an example of the fallacy, operating a vehicle (be it a car or jet) for work/pleasure is not.